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323003302200020 = 225131773077670181
BaseRepresentation
bin100100101110001010001000…
…1000101101100001011010100
31120100122210222111100111210102
41021130110101011230023110
5314314041230330400040
63102545400223313232
7125015134640143301
oct11134242105541324
91510583874314712
10323003302200020
1193a11a2745aa62
123028825444b818
1310b301083bb250
1459a962c37a0a8
1527520cccc3515
hex125c51116c2d4

323003302200020 has 48 divisors (see below), whose sum is σ = 773454061206288. Its totient is φ = 112247301396480.

The previous prime is 323003302200017. The next prime is 323003302200041. The reversal of 323003302200020 is 20002203300323.

It can be written as a sum of positive squares in 8 ways, for example, as 19566272930884 + 303437029269136 = 4423378^2 + 17419444^2 .

It is a super-2 number, since 2×3230033022000202 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 323003302199965 and 323003302200001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36538830671 + ... + 36538839510.

It is an arithmetic number, because the mean of its divisors is an integer number (16113626275131).

Almost surely, 2323003302200020 is an apocalyptic number.

It is an amenable number.

323003302200020 is an abundant number, since it is smaller than the sum of its proper divisors (450450759006268).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

323003302200020 is a wasteful number, since it uses less digits than its factorization.

323003302200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73077670220 (or 73077670218 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

Adding to 323003302200020 its reverse (20002203300323), we get a palindrome (343005505500343).

The spelling of 323003302200020 in words is "three hundred twenty-three trillion, three billion, three hundred two million, two hundred thousand, twenty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 260 340 442 884 1105 2210 4420 73077670181 146155340362 292310680724 365388350905 730776701810 950009712353 1242320393077 1461553403620 1900019424706 2484640786154 3800038849412 4750048561765 4969281572308 6211601965385 9500097123530 12423203930770 16150165110001 19000194247060 24846407861540 32300330220002 64600660440004 80750825550005 161501651100010 323003302200020